Determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4, 8.6, 7.8, …

emancipezN

emancipezN

Answered question

2021-02-23

Determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4, 8.6, 7.8, …

Answer & Explanation

Layton

Layton

Skilled2021-02-24Added 89 answers

Step 1
For a sequence to be an arithmetic progression it must follow the common difference procedure as.
a,b,c,d,e,.....
ba=cb=dc=ed=....
Step 2
For the given sequence, check whether it follows the common difference as suggested above.
11,10.2,9.4,8.6,7.8,....
10.211=0.8
9.410.2=0.8
8.69.4=0.8
7.88.6=0.8
Step 3
As it follows the common difference procedure therefore it can be concluded that the given sequence is an arithmetic sequence and common difference ‘d’ is calculated to be as.
d=10.211
=0.8

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